Open AccessBoolean Valued Decomposition Theory of States
Author(s) -
Hirokazu Nishimura
Publication year - 1985
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195178795
Subject(s) - mathematics , decomposition , algebra over a field , discrete mathematics , pure mathematics , chemistry , organic chemistry
Boolean valued analysis (i.e., analysis based on Boolean valued set theory) enables us to introduce a natural framework for decompositions of states over C*-algebras with identity. The development apparently runs parallel with the traditional approach originating in von Neumann's reduction theory, but our logical approach succeeds in getting rid of separability restrictions that have haunted the traditional approach.
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